Split-split-plot design for a non-orthogonal experiment with lupine

Katarzyna Ambroży-Deręgowska

sekretariat.kmmis@up.poznan.pl
Katedra Metod Matematycznych i Statystycznych, Uniwersytet Przyrodniczy w Poznaniu (Poland)

Iwona Mejza


Katedra Metod Matematycznych i Statystycznych, Uniwersytet Przyrodniczy w Poznaniu (Poland)

Abstract

In the paper a construction method of an incomplete split-split-plot (SSP) design for a non-orthogonal experiment is presented. Incompleteness of the SSP design concerns sub-subplot treatments. Balanced incomplete block (BIB) design is used as generating design in the construction method. Statistical properties of the final SSP design with respect to general balance are given. Multistratum analysis and the analysis of contrasts are proposed as adequate statistical analysis. Considerations are illustrated using data generated from some orthogonal experiment with lupine.


Keywords:

basic contrasts, incomplete split-split-plot design, multistratum analysis

Ambroży K., Mejza I. 2006. Doświadczenia trójczynnikowe z krzyżową i zagnieżdżoną strukturą poziomów czynników. Wyd. Polskie Towarzystwo Biometryczne i PRODRUK, Poznań.
Google Scholar

Ambroży K., Mejza I. 2009. Analiza danych z krzyżową i zagnieżdżoną strukturą poziomów czynników na przykładzie doświadczenia z łubinem. Biul. IHAR 251: 269 — 281.
Google Scholar

Ambroży K., Mejza I. 2012. Modelowanie danych z doświadczeń trójczynnikowych zakładanych w układach zależnych o różnych strukturach blokowych. Biul. IHAR 264: 23 — 31.
Google Scholar

Ambroży K., Mejza I. 2013. A method of constructing incomplete split-split-plot designs supplemented by whole plot and subplot standards and their analysis. Colloquium Biometricum 43: 59 — 72.
Google Scholar

Ambroży-Deręgowska K., Mejza I. 2014. Niektóre aspekty statystyczne planowania doświadczeń nieortogonalnych typu split-split-plot. Biul. IHAR, 274: 41 — 49.
Google Scholar

Ambroży-Deręgowska K., Mejza I., Mejza S. 2014. On the relative efficiency of split-split-plot design to split-plot × split-block design. Colloquium Biometricum 44: 69 — 78.
Google Scholar

Ambroży-Deręgowska K., Mejza I., Mejza S. 2015. Stratum analyses for split-split-plot designs generated by group divisible designs. Colloquium Biometricum 45: 47 – 65.
Google Scholar

Barbacki S. 1951. Doświadczenia kombinowane. PWRiL, Warszawa.
Google Scholar

Clatworthy W. H. 1973. Tables of two associate classes partially balanced designs. NBS App. Math. Ser. 63, Department of Commerce.
Google Scholar

Cochran W.G., Cox G.M. 1957. Experimental designs. Wiley, New York.
Google Scholar

Nelder J. A. 1965 a. The analysis of randomized experiments with orthogonal block structure. 1. Block structure and the null analysis of variance. Proc. Roy. Soc. London Ser. A 283: 147 — 162.
Google Scholar

Nelder J. A. 1965 b. The analysis of randomized experiments with orthogonal block structure. 2. Treatment structure and general analysis of variance. Proc. Roy. Soc. London A 283: 163 — 178.
Google Scholar


Published
2015-12-31

Cited by

Ambroży-Deręgowska, K. and Mejza, I. (2015) “Split-split-plot design for a non-orthogonal experiment with lupine”, Bulletin of Plant Breeding and Acclimatization Institute, (278), pp. 49–59. doi: 10.37317/biul-2015-0005.

Authors

Katarzyna Ambroży-Deręgowska 
sekretariat.kmmis@up.poznan.pl
Katedra Metod Matematycznych i Statystycznych, Uniwersytet Przyrodniczy w Poznaniu Poland

Authors

Iwona Mejza 

Katedra Metod Matematycznych i Statystycznych, Uniwersytet Przyrodniczy w Poznaniu Poland

Statistics

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Copyright (c) 2015 Katarzyna Ambroży-Deręgowska, Iwona Mejza

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